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Finding the Fourth Proportional to 13,620.84, 20,432 and 4,262.16

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Solution

The fourth proportional to 13,620.84, 20,432 and 4,262.16 is: 6,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620.84 : 20,432 = 4,262.16 : x
  2. Step 2: Convert to fraction form
    13,620.84/20,432 = 4,262.16/x
  3. Step 3: Cross multiply
    13,620.84x = 20,432 × 4,262.16
  4. Step 4: Simplify right side
    13,620.84x = 87,084,453.12
  5. Step 5: Solve for x
    x = 87,084,453.12/13,620.84
  6. Step 6: Final answer
    x = 6,393.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.